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Mathematics·Algebra·procedural

Solving Linear Equations

Use algebraic methods to solve linear equations in one variable, including equations that require rearrangement, expanding brackets, and collecting terms on both sides; solve equations with rational number coefficients

Suggested ages 11–14

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Evidence of understanding

  • Solve one-step and two-step linear equations in one variable
  • Solve equations requiring expansion of brackets and collection of like terms
  • Solve equations with the unknown on both sides and with fractional or negative coefficients

Assessment prompt

If Solving Linear Equations is given an equation like 3x + 7 = 22, can they work through the steps to find the value of x?

Standards alignment

6.EE.5US · ccss-math

Understand Solving Equations and Inequalities

Common Core State Standards for Mathematics · 6

6.EE.7US · ccss-math

Solve Real-World and Mathematical Problems

Common Core State Standards for Mathematics · 6

7.EE.4US · ccss-math

Use variables to represent quantities and construct simple equations and inequalities

Common Core State Standards for Mathematics · 7

7.EE.4aUS · ccss-math

Solve word problems leading to equations of the form px + q = r and p(x + q) = r

Common Core State Standards for Mathematics · 7

8.EE.7aUS · ccss-math

Linear equations with one, infinite, or no solutions

Common Core State Standards for Mathematics · 8

8.EE.7bUS · ccss-math

Solving linear equations with rational coefficients

Common Core State Standards for Mathematics · 8

KS3.Maths.Alg.7GB · uk-nc-2013

Solve Linear Equations

The national curriculum in England: Key stages 1 and 2 framework document · Key Stage 3